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Finding the Fourth Proportional to 216,275.78, 324,209.54 and 104,019.50

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Solution

The fourth proportional to 216,275.78, 324,209.54 and 104,019.50 is: 155,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,275.78 : 324,209.54 = 104,019.50 : x
  2. Step 2: Convert to fraction form
    216,275.78/324,209.54 = 104,019.50/x
  3. Step 3: Cross multiply
    216,275.78x = 324,209.54 × 104,019.50
  4. Step 4: Simplify right side
    216,275.78x = 33,724,114,246.03
  5. Step 5: Solve for x
    x = 33,724,114,246.03/216,275.78
  6. Step 6: Final answer
    x = 155,931.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.